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Finding the Fourth Proportional to 465,688.04, 698,661 and 185,402.12

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Solution

The fourth proportional to 465,688.04, 698,661 and 185,402.12 is: 278,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,688.04 : 698,661 = 185,402.12 : x
  2. Step 2: Convert to fraction form
    465,688.04/698,661 = 185,402.12/x
  3. Step 3: Cross multiply
    465,688.04x = 698,661 × 185,402.12
  4. Step 4: Simplify right side
    465,688.04x = 129,533,230,561.32
  5. Step 5: Solve for x
    x = 129,533,230,561.32/465,688.04
  6. Step 6: Final answer
    x = 278,154.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.